30034241241000 has 1024 divisors, whose sum is σ = 107526496896000. Its totient is φ = 6933145190400.

The previous prime is 30034241240987. The next prime is 30034241241041. The reversal of 30034241241000 is 14214243003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4981625986 + ... + 4981632014.

It is an arithmetic number, because the mean of its divisors is an integer number (105006344625).

Almost surely, 2^{30034241241000} is an apocalyptic number.

30034241241000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30034241241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53763248448000).

30034241241000 is an abundant number, since it is smaller than the sum of its proper divisors (77492255655000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30034241241000 is a wasteful number, since it uses less digits than its factorization.

30034241241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30034241241000 its reverse (14214243003), we get a palindrome (30048455484003).

It can be divided in two parts, 3003424 and 1241000, that added together give a palindrome (4244424).

The spelling of 30034241241000 in words is "thirty trillion, thirty-four billion, two hundred forty-one million, two hundred forty-one thousand".